# Electromagnetic self-force in the five dimensional Myers-Perry space time

## TL;DR

This paper calculates the electromagnetic self-force on a charged particle in a five-dimensional Myers-Perry space-time, revealing a unique point where the force switches from attractive to repulsive, differing from four-dimensional cases.

## Contribution

It introduces a novel calculation of electromagnetic self-force in five dimensions using quaternion methods, extending previous four-dimensional analyses.

## Key findings

- Self-force vanishes at a specific radius r0.
- Force is attractive for r < r0 and repulsive for r > r0.
- Distinct behavior compared to four-dimensional space-times.

## Abstract

We calculate the effects of the electromagnetic self-force on a charged particle outside a five dimensional Myers-Perry space-time. Based on our earlier work [1], we obtain the self-force using quaternions in Janis-Newman and Giampieri algorithms. In four dimensional rotating space-time the electromagnetic self-force is repulsive at any point, however, in five dimensional rotational space-time, we find a point r0 where the electromagnetic self-force vanishes. For r < r0 (r > r0) the electromagnetic self-force is attractive (repulsive).